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Crystal Lab › Prototype structures › Trigonal

LiNiO₂

Trigonal · space group R-3m (No. 166) · Pearson hR4

Symmetry elements and Wyckoff positions (interactive)

LiNiO₂ in R-3m

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit cell

Lattice constants
a = 2.878 Å, b = 2.878 Å, c = 14.190 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
101.8 ų
Atoms in the conventional cell
12 (Li 3, Ni 3, O 6)
Formula units Z
3
Pearson symbol
hR4 — hexagonal / trigonal, rhombohedral lattice, 4 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li1Li3a30.00000.00000.0000
Ni2Ni3b30.00000.00000.5000
O3O6c60.00000.00000.2500

The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 12 atoms drawn above are these sites multiplied by all 36 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.

How to read the label

ABC2_hR4_166_a_b_c-010: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR4, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Li: 3a; Ni: 3b; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

NaNiO₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_hR4_166_a_b_c-010 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.

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